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Finding the Fourth Proportional to 272,034.45, 408,051.68 and 105,822.45

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Solution

The fourth proportional to 272,034.45, 408,051.68 and 105,822.45 is: 158,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,034.45 : 408,051.68 = 105,822.45 : x
  2. Step 2: Convert to fraction form
    272,034.45/408,051.68 = 105,822.45/x
  3. Step 3: Cross multiply
    272,034.45x = 408,051.68 × 105,822.45
  4. Step 4: Simplify right side
    272,034.45x = 43,181,027,975.10
  5. Step 5: Solve for x
    x = 43,181,027,975.10/272,034.45
  6. Step 6: Final answer
    x = 158,733.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.